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Finding the Third Proportional to 755,952.75 and 1,089,217.13

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Solution

The third proportional to 755,952.75 and 1,089,217.13 is: 1,569,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,952.75 : 1,089,217.13 = 1,089,217.13 : x
  2. Step 2: Convert to fraction form
    755,952.75/1,089,217.13 = 1,089,217.13/x
  3. Step 3: Cross multiply
    755,952.75x = 1,089,217.13 × 1,089,217.13
  4. Step 4: Simplify right side
    755,952.75x = 1,186,393,945,393.27
  5. Step 5: Solve for x
    x = 1,186,393,945,393.27/755,952.75
  6. Step 6: Final answer
    x = 1,569,402.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.